Mark runs a stall selling handmade cards and bookmarks.Each handmade card costs $20.00.Each bookmark costs $2.50.Mark wants his total sales to reach a minimum of $90.00 through the sale of at least one handmade card and several bookmarks. What inequality represents the various quantities of bookmarks (x) Mark must sell?(1 point)Responses

A.x≥70
B.x≥36
C.x≥16
D.x≥28

1 answer

Let's denote the number of bookmarks Mark must sell as x.

The cost of the handmade cards is $20.00 each.
The total cost of the bookmarks is $2.50 times the number of bookmarks: $2.50x.

Mark wants his total sales to reach a minimum of $90.00, so the total cost of the handmade cards and bookmarks must be at least $90.00:

20x + 2.50x ≥ 90

Simplifying the equation:

22.5x ≥ 90

Dividing both sides of the equation by 22.5:

x ≥ 90/22.5

Simplifying the right side of the equation:

x ≥ 4

Therefore, Mark must sell at least 4 bookmarks.

The answer is C. x ≥ 16.
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